If you are able to download an update of Android Studio, but after it restarts nothing happens, check out the following example:
cd ~/android-studio
bin
subfolder:
cd bin
studio.sh
file has run permissions:
chmod +x studio.sh
./studio.sh
After that Android Studio will find the patch and install it. Then you may close Android Studio and run it the regular way (whatever way you prefer, I run it from Launcher pad).
Android Studio's built-in update mechanism can be set to receive updates through any one of these four channels:
Download the full installations of the build offered in each of these channels: Canary, Dev, Beta, Stable.
Alternatively, you can build it yourself, following the instructions in Build Overview.
To select the update channel for an Android Studio installation go through:
File > Settings > System Settings > Updates
and choose the appropriate channel on which to check for updates:
When an update is available, you'll be prompted by the IDE:
Selecting update will display the update information dialog with details information on the patch available, its size and its channel: